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- research-articleApril 2023
Poisson limit theorems for the Robinson–Schensted correspondence and for the multi-line Hammersley process
Advances in Applied Mathematics (AAMA), Volume 145, Issue Chttps://doi.org/10.1016/j.aam.2022.102478AbstractWe consider the Robinson–Schensted–Knuth algorithm applied to a random input and study the growth of the bottom rows of the corresponding Young diagrams. We prove a multidimensional Poisson limit theorem for the resulting Plancherel ...
- research-articleJune 2017
Efficient quantum tomography II
STOC 2017: Proceedings of the 49th Annual ACM SIGACT Symposium on Theory of ComputingPages 962–974https://doi.org/10.1145/3055399.3055454We continue our analysis of: (i) "Quantum tomography", i.e., learning a quantum state, i.e., the quantum generalization of learning a discrete probability distribution; (ii) The distribution of Young diagrams output by the RSK algorithm on random words. ...